GCF of 4912/560, 7592/405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4912/560, 7592/405 i.e 8/45360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4912/560, 7592/405.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4912/560,7592/405?
Given fractions are 4912/560,7592/405
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4912/560,7592/405, numerators are 4912,7592
Denominators are 560,405
The GCF of 4912,7592 is 8 .
LCM of 560,405 is 45360.
The greatest common factor of 4912/560,7592/405 = [GCF of 4912,7592]/[LCM of 560,405]= 8/45360
Therefore, the GCF of 4912/560,7592/405 is 8/45360.
To find the highest common factor of 4912,7592, we have to find the factors of both numbers and list the highest common factor.
The factors of 4912 are 1, 2, 4, 8, 16, 307, 614, 1228, 2456, 4912
The factors of 7592 are 1, 2, 4, 8, 13, 26, 52, 73, 104, 146, 292, 584, 949, 1898, 3796, 7592
The HCF of 4912,7592 is 8.
Lets's calculate GCF of 4912,7592
| 2 | 4912, 7592 |
| 2 | 2456, 3796 |
| 2 | 1228, 1898 |
| 614, 949 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4912,7592 By Matching Biggest Common Factor Method
Now, list down the factors of 4912
:1,2,4,8,16,307,614,1228,2456,4912
Now, list down the factors of 7592
:1,2,4,8,13,26,52,73,104,146,292,584,949,1898,3796,7592
Greatest Common Factor
We found the factors 4912,7592 . The biggest common factor number is the GCF number.
So the greatest common factor 4912,7592 is 8.
Lets's calculate LCM of 560,405
| 5 | 560, 405 |
| 112, 81 |
∴ So the LCM of the given numbers is 5 x 112 x 81 = 45360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/45360
Therefore, the GCF of Fractions 4912/560,7592/405 is 8/45360
Least Common Multiple of 560,405 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 560,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,405) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(560,405) x common factors =5 x 1 = 5
LCM(560,405) = ( 560 × 405 ) / 5
LCM(560,405) = 226800 / 5
LCM(560,405) = 45360
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FAQs on GCF of Fractions of 4912/560, 7592/405
1. What is the HCF of 4912,7592?
The HCF of 4912,7592 is 8
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4912/560, 7592/405?
Answer: GCF of Numerators as per given numbers 4912/560, 7592/405 is
GCF of Numerators i.e. for 4912,7592 is 8
LCM of denominators i.e. for 560,405 is 45360.
Thus, GCF of Fractions is 8/45360.Finally, GCF of Fractions for 4912/560, 7592/405 is 8/45360.